A comparative numerical study of the modified versus the navier-stokes equations of motion

Bo Wan*, Friedrich K. Benra, Siavash H Sohrab

*Corresponding author for this work

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

Some comparative numerical calculations of the modified form of the equation of motion versus the Navier-Stokes equation of motion are presented for the problems of laminar boundary layer flow over a flat plate, across liquid and rigid cylinders, and on a rotating disk. It is found that for the all three flow configurations close agreement between the predictions of the modified versus the classical forms of the equation of motion could be achieved. For the flow on a rotating disk, an error in the earlier formulation is identified and a modified formulation is presented that leads to analytical solution for azimuthal velocity in close agreement with the exact numerical calculations of Cochran.

Original languageEnglish (US)
Title of host publicationProceedings of the 7th IASME / WSEAS International Conference on Fluid Mechanics and Aerodynamics, FMA '09
Pages157-162
Number of pages6
StatePublished - Dec 1 2009
Event7th IASME / WSEAS International Conference on Fluid Mechanics and Aerodynamics, FMA '09 - Moscow, Russian Federation
Duration: Aug 20 2009Aug 22 2009

Other

Other7th IASME / WSEAS International Conference on Fluid Mechanics and Aerodynamics, FMA '09
CountryRussian Federation
CityMoscow
Period8/20/098/22/09

Keywords

  • Flat plate
  • Laminar flows over a cylinder
  • Navier-stokes equation
  • Rotating disk

ASJC Scopus subject areas

  • Fluid Flow and Transfer Processes
  • Mechanical Engineering

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  • Cite this

    Wan, B., Benra, F. K., & Sohrab, S. H. (2009). A comparative numerical study of the modified versus the navier-stokes equations of motion. In Proceedings of the 7th IASME / WSEAS International Conference on Fluid Mechanics and Aerodynamics, FMA '09 (pp. 157-162)